📊 Exponentials and logarithms
Introduction to exponential and logarithmic relationships
Understanding the inverse relationship between functions
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📈 Exponential functions
Graphing and properties of exponential functions
Growth and decay patterns in exponential models
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🔢 y = e^x
The natural exponential function and Euler's number
Derivatives and integrals of e^x
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🌱 Exponential modelling
Real-world applications of exponential functions
Population growth, radioactive decay, and compound interest
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🔍 Logarithms
Definition and basic properties of logarithms
Converting between exponential and logarithmic form
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⚖️ Laws of logarithms
Product, quotient, and power rules for logarithms
Simplifying complex logarithmic expressions
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🔧 Solving equations using logarithms
Techniques for solving exponential and logarithmic equations
Using logarithms to isolate variables in complex equations
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🌿 Working with natural logarithms
Properties and applications of ln(x)
Calculus applications with natural logarithms
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📉 Logarithms and non-linear data
Using logarithms to linearize exponential data
Log-linear and log-log plots for data analysis
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📖 Revision / Exam Questions - COMING SOON
Practice with questions and key points
Key formulas, important points, last-minute revision
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